Methods of cryptographically steady elliptic curves generation

Larissa V. Cherckesova, Olga Alexandrovna Safaryan, Pavel V. Razumov, Boris A. Akishin, Vladislav E. Chumakov, I Smirnov, Irina S. Trubchik · IOP Conference Series Materials Science and Engineering · 2020

Abstract This article is devoted to a complex study of elliptic curves and description and characteristics of it are presented. Moreover, algorithms for generating cryptographically stable elliptic properties that ensure the greatest curves are revealed. The detailed description is given, and the resistance of the elliptic curves to the different types of cryptographic attacks are determined, grounding on the comparative analysis of information security system.

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